A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Unified framework designs LK structures using integer twists on non-manifold meshes.
Unified framework for Alexandrov 3-spaces, extending manifold results.
3D spaces without boundaries are found that aren't manifolds.
We characterize subgroups of the mapping class group that stabilize a Teichmueller disk in terms of ellipses and strips that are immersed in the associated translation surface. In particular, we show that the space of immersed ellipses/strips that meet at least three cone points is naturally a (non-manifold) 2-dimensio…
Classifies generalized Seifert fiber spaces and their branched covers.
By a construction of Berstein and Edmonds every proper branched cover f between manifolds is a factor of a branched covering orbit map from a locally connected and locally compact Hausdorff space called the monodromy space of f to the target manifold. For proper branched covers between 2-manifolds the monodromy space i…
We construct a map from the suspension -spectrum of a smooth compact -manifold to the equivariant -theory spectrum , and we show that its fiber is, on fixed points, a wedge of stable -cobordism spectra. This map is constructed as a map of spectral Mackey functors, which is compatible …
4-manifolds with Ricci curvature bounds can be approximated by non-manifold spaces.
Piecewise Euclidean structures (identified solid Euclidean polyhedra) on topological 3-dimensional manifolds and pseudo-manifolds are constructed so that they admit pseudo-foliations, a generalized type of foliation. The construction of non-manifold point neighborhoods is done to preserve as much of the geometric, and …
Detects singularities in complex data to improve machine learning models.
We consider certain groups of tree automorphisms as so-called diffeological groups. The notion of diffeology, due to Souriau, allows to endow non-manifold topological spaces, such as regular trees that we look at, with a kind of a differentiable structure that in many ways is close to that of a smooth manifold; a suita…
We enumerate all spaces obtained by gluing in pairs the faces of the octahedron in an orientation-reversing fashion. Whenever such a gluing gives rise to non-manifold points, we remove small open neighbourhoods of these points, so we actually deal with three-dimensional manifolds with (possibly empty) boundary. There a…
Deep Gaussian processes on manifolds improve performance on complex data.
Given a sample from an unknown manifold embedded in Euclidean space, it is possible to recover the homology groups of by building a Vietoris--Rips or Čech simplicial complex on top of the vertex set . However, these simplicial complexes need not inherit the metric structure of the manifold, in particular…
In 1992, David Wright proved a remarkable theorem about which contractible open manifolds are covering spaces. He showed that if a one-ended open manifold M has pro-monomorphic fundamental group at infinity which is not pro-trivial and is not stably Z, then M does not cover any manifold (except itself). In the non-mani…